Least Common Multiple (LCM) of 179 and 133
The least common multiple (LCM) of 179 and 133 is 23807.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 179 and 133?
First, calculate the GCD of 179 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 133 = 1 remainder 46 |
| 2 | 133 ÷ 46 = 2 remainder 41 |
| 3 | 46 ÷ 41 = 1 remainder 5 |
| 4 | 41 ÷ 5 = 8 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 114 | 3078 |
| 15 and 57 | 285 |
| 100 and 126 | 6300 |
| 126 and 25 | 3150 |
| 133 and 142 | 18886 |